105545324542000 has 320 divisors, whose sum is σ = 309337509132288. Its totient is φ = 34046179200000.

The previous prime is 105545324541989. The next prime is 105545324542103. The reversal of 105545324542000 is 245423545501.

It is a super-2 number, since 2×105545324542000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16955275 + ... + 22328725.

Almost surely, 2^{105545324542000} is an apocalyptic number.

105545324542000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105545324542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154668754566144).

105545324542000 is an abundant number, since it is smaller than the sum of its proper divisors (203792184590288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105545324542000 is a wasteful number, since it uses less digits than its factorization.

105545324542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373565 (or 5373549 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 105545324542000 in words is "one hundred five trillion, five hundred forty-five billion, three hundred twenty-four million, five hundred forty-two thousand".